I V  -   b o b g a     d o i r     m a sh q l a r

 

 

          Ko‘paytuvchilarga ajrating (443–447):

 

443.       1) 6(a+b)+(a+b)2;                       3) (a–b)+(b–a)2;

          2) 4(x–y)+3(x–y)2;                        4) (a–b)2–(b–a).

 

444.       1) 3(x+y)(x–y)(x+y)2;          3) 5(a–b)2–(a+b)(b–a);

          3) (x+y)3–x(x+y)2;                        4) a(a–b)2–(b–a)2.

 

445.       1) (y+z)(12x2+6x)+(y–z)(12x2+6x);

          2) (y–z)(12x2–6x)+(y–z)(12x2–6x);

          3) (6x2–3)+7x(6x2–3)–4y(6x2–3);

          4) 2x(8x–4y)–3y(8x–4y)–(8x–4y).

 

446.       1) 18a2–27ab+14ac–21bc;                     3) 35ax+24xy–20ay–42x2;

          2) 10x2+10xy+5x+5y;                    4) 48xz2+32xy2–15yz2–10y3.

 

447.       1) 16ab2–5b2c–10c3+32ac2;          3) –28ac+35c2–10cx+8ax;

          2) 6mnk2+15m2k–14n3k–35mn2;             4) –24bx–15c2+40bc+9cx.

 

448.       Ifodani soddalashtiring:

          1) (2x–1)2–2(2x–3)2+17;                        3) 24y2–(7y–2)2+(5y–3)(5y+1);

          2) (3x+2)2–2(x–1)2–7x2;                         4) (3y+1)(2y–3)+(2y–3)2–10y2.

 

 

449. Ikkiita ketma-ket natural son kvadratlari ayirmasining moduli toq son bo’lishi isbotlang.

 

450.       Kasrni qisqartiring:

          1) ;                       3) ;

          2) ;                       4) .

 

451.       x  va  y  ning istagan qiymatlarida (x+y)(x2–y2)=(x–y)(x+y)2  tenglik to‘g‘ri bo‘lishini isbotlang.